3835440 has 120 divisors (see below), whose sum is σ = 14740128. Its totient is φ = 875520.

The previous prime is 3835439. The next prime is 3835441. The reversal of 3835440 is 445383.

It is a happy number.

3835440 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3835439) and next prime (3835441).

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (3835441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4660 + ... + 5420.

Almost surely, 2^3835440 is an apocalyptic number.

3835440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3835440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7370064).

3835440 is an abundant number, since it is smaller than the sum of its proper divisors (10904688).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3835440 is a wasteful number, since it uses less digits than its factorization.

3835440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 787 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 3835440 is about 1958.4279409772. The cubic root of 3835440 is about 156.5326956903.

The spelling of 3835440 in words is "three million, eight hundred thirty-five thousand, four hundred forty".